Thanks for your replies.
Yes, this video shows you don't need a temperature sensor for the second SSD:
That's interesting. I was looking at the same Corsair adapter on Amazon too, and that's what gave me the idea. It's got to work, the dimensions state it's 23mm high, and the photo shows the SSD's don't protrude out past that dimension. Plus a standard 3.5" HDD measures 1" high, 24.5mm, so it fits within that measurement. It's got to be easier to buy that adapter and fit both into the main HDD bay, rather than remove the optical drive and stick it under there.
My drives are on order, but I don't know when they'll arrive. I'll order that Corsair adapter and give it a go when it arrives. I just need to buy some tools and the second drive cable, which I guess is this:
https://www.macupgrades.co.uk/store/product_info.php?products_id=794
Might try the software fan controller first, or maybe even short the temperature sensor cables before resorting to buying the "temperature sensor" or whatever it is.